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A first systematic study of the effects of the choice of the input scale in global determinations of parton distributions and QCD parameters is presented. It is shown that, although in principle the results should not depend on these…

High Energy Physics - Phenomenology · Physics 2014-05-23 Pedro Jimenez-Delgado

In this note, the following basic question is explored: in a cyclic group, how are the Shannon entropies of the sum and difference of i.i.d. random variables related to each other? For the integer group, we show that they can differ by any…

Information Theory · Computer Science 2018-05-09 Emmanuel Abbe , Jiange Li , Mokshay Madiman

Efficient protein synthesis depends on the availability of charged tRNA molecules. With 61 different codons, shifting the balance among the tRNA abundances can lead to large changes in the protein synthesis rate. Previous theoretical work…

Subcellular Processes · Quantitative Biology 2020-01-01 Rebecca J. Rousseau , William Bialek

Genome wide comparisons between enteric bacteria yield large sets of conserved putative regulatory sites on a gene by gene basis that need to be clustered into regulons. Using the assumption that regulatory sites can be represented as…

Biological Physics · Physics 2009-11-07 Erik van Nimwegen , Mihaela Zavolan , Nikolaus Rajewsky , Eric D. Siggia

In our paper selected linguistic features of genomes to study the statistics of the gene codes are considered. We present the information theory from which it follows that if the system is described by distributions of hyperbolic type it…

Genomics · Quantitative Biology 2014-07-10 Krystyna Lukierska-Walasek , Krzysztof Topolski , Krzysztof Trojanowski

We present a statistical approach to protein structure by introducing a representation of protein folds based on simple observables defined as frequencies of oriented cycles in contact graphs. Motivated by the idea that these cycles may…

Biomolecules · Quantitative Biology 2016-09-08 A. M. Lisewski , O. Lichtarge

Shannon entropy, a cornerstone of information theory, statistical physics and inference methods, is uniquely identified by the Shannon-Khinchin or Shore-Johnson axioms. Generalizations of Shannon entropy, motivated by the study of…

Data Analysis, Statistics and Probability · Physics 2026-04-20 Andrea Somazzi , Diego Garlaschelli

Recent findings suggest that shell protein distribution and morphology of bacterial microcompartments regulate the chemical fluxes facilitating reactions which dictate their biological function. We explore how the morphology and component…

Soft Condensed Matter · Physics 2023-07-25 Curt Waltmann , Ahis Shrestha , Monica Olvera de la Cruz

Important aspects of the process of information storage and retrieval in DNA and RNA, and its evolution, are the role of the anticodons and associated $t$RNA's, and correlations between anticodons and amino acids; the degeneracy of the…

Biological Physics · Physics 2007-05-23 P. D. Jarvis , J. D. Bashford

The entropy of network ensembles characterizes the amount of information encoded in the network structure, and can be used to quantify network complexity, and the relevance of given structural properties observed in real network datasets…

Disordered Systems and Neural Networks · Physics 2014-06-18 Kartik Anand , Dimitri Krioukov , Ginestra Bianconi

The native conformation of structured proteins is stabilized by a complex network of interactions. We analyzed the elementary patterns that constitute such network and ranked them according to their importance in shaping protein sequence…

Biomolecules · Quantitative Biology 2022-04-11 M. Tajana , A. Trovato , G. Tiana

In this paper entropy based methods are compared and used to measure structural diversity of an ensemble of 21 classifiers. This measure is mostly applied in ecology, whereby species counts are used as a measure of diversity. The measures…

Machine Learning · Computer Science 2008-10-21 L. Masisi , V. Nelwamondo , T. Marwala

The present work is devoted to describe a set of rules explaining the discriminating versus non-discriminating behavior of the di-basic stages and to characterize the role of each base in determining such a behavior. Bases are analyze as…

Optimization and Control · Mathematics 2007-05-23 Edmundo Rofman , Melina Rapacioli , Vladimir Flores

In this study an attempt has been made to propose a way to develop new distribution. For this purpose, we need only idea about distribution function. Some important statistical properties of the new distribution like moments, cumulants,…

Methodology · Statistics 2024-08-30 Brijesh P. Singh , Utpal Dhar Das

The phenotype of any organism on earth is, in large part, the consequence of interplay between numerous gene products encoded in the genome, and such interplay between gene products affects the evolutionary fate of the genome itself through…

Molecular Networks · Quantitative Biology 2012-01-04 Pan-Jun Kim , Nathan D. Price

There is an asymptotic relationship between the multiplicative relations among multinomial coefficients and the (additive) recurrence property of Shannon entropy known as the chain rule. We show that both types of identities are…

Combinatorics · Mathematics 2020-03-05 Juan Pablo Vigneaux

A representation of the genetic code as a six-dimensional Boolean hypercube is proposed. It is assumed here that this structure is the result of the hierarchical order of the interaction energies of the bases in codon-anticodon recognition.…

Soft Condensed Matter · Physics 2007-05-23 Miguel A. Jimenez-Montano , Carlos R. de la Mora-Basanez , Thorsten Poeschel

In this paper we derive the maximum entropy characteristics of a particular rank order distribution, namely the discrete generalized beta distribution, which has recently been observed to be extremely useful in modelling many several…

Physics and Society · Physics 2019-09-30 Abhik Ghosh , Preety Shreya , Banasri Basu

We consider the binomial distribution with parameters $n$ and $x$, and show that the sum of the squared probabilities is a log-convex function of $x$. This completes the proof of a conjecture formulated in 2014. Applications to R\'{e}nyi…

Classical Analysis and ODEs · Mathematics 2017-06-19 Ioan Rasa

This article presents a physical biology approach to understanding organization and segregation of bacterial chromosomes. The author uses a "piston" analogy for bacterial chromosomes in a cell, which leads to a phase diagram for the…

Subcellular Processes · Quantitative Biology 2010-06-01 Suckjoon Jun